| Edition |
First edition. |
| Description |
1 online resource |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Part 1: Mathematical, Computational, and Physical Foundations. Chapter 1 - Elements of Mathematical Modeling -- Chapter 2 - Elements of Mathematical Methods -- Chapter 3 - Elements of Computational Methods -- Chapter 4 - Elements of Physics Part 2: Balance Laws. Chapter 5 - The Rational Continuum Mechanics Approach to Matter in Motion -- Chapter 6 - Balance Laws in Integral Form -- Chapter 7 - Balance Laws in Local Form -- Chapter 8 - Continuum Approach for Multicomponent Mixtures Part 3: Constitutive Relations. Chapter 9 - Preliminary Considerations on Constitutive Modeling -- Chapter 10 - Constitutive Relations for Fluids -- Chapter 11 - Constitutive Relations for Solids -- Chapter 12 - Constitutive Relations for Multicomponent Mixtures -- Chapter 13 - Constitutive Relations in Electromagnetism and Ion Electrodynamics Part 4: Model Reduction of System Complexity. Chapter 14 - Reduction of the Maxwell partial differential system -- Chapter 15 - Electric Analogy to Fluid Flow Part 5: Mathematical Models of Basic Biological Units and Complex Systems. Chapter 16 - Cellular Components and Functions: A Brief Overview -- Chapter 17 - Mathematical Modeling of Cellular Electric Activity -- Chapter 18 - Mathematical Modeling of Electric Propagation Along Nerve Fibers -- Chapter 19 - Differential Models in Cellular Functions Part 6: Advanced Mathematical and Computational Methods. Chapter 20 - Functional Spaces and Functional Inequalities -- Chapter 21 - Functional Iterations for Nonlinear Coupled Systems of Partial Differential Equations -- Chapter 22 - Time Semidiscretization and Weak Formulations for Initial Value/Boundary Value Problems of Advection–Diffusion–Reaction Type -- Chapter 23 - Finite Element Approximations of Boundary Value Problems of Advection–Diffusion–Reaction Type -- Chapter 24 - Finite Element Approximations of Initial Value/Boundary Value Problems of Advection–Diffusion–Reaction Type -- Chapter 25 - Finite Element Approximation of a Unified Model for Linear Elastic Materials Part 7: Simulation Examples and Clinical Applications. Chapter 26 - Ion Dynamics in Cellular Membranes -- Chapter 27 - Interaction Between Hemodynamics and Biomechanics in Ocular Perfusion Part 8: Examples, Exercises, and Projects. Chapter 28 - Coding of Examples Using Matlab Scripts -- Chapter 29 - Matlab Functions for Algorithm Implementation -- Chapter 30 - Homework: Exercises and Projects -- Appendix A - Elements of Differential Geometry and Balance Laws in Curvilinear Coordinates -- Bibliography -- Index. |
| Note |
Vendor-supplied metadata. |
| Summary |
A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences provides a systematic methodology to the formulation of problems in biomedical engineering and the life sciences through the adoption of mathematical models based on physical principles, such as the conservation of mass, electric charge, momentum, and energy. It then teaches how to translate the mathematical formulation into a numerical algorithm that is implementable on a computer. The book employs computational models as synthesized tools for the investigation, quantification, verification, and comparison of different conjectures or scenarios of the behavior of a given compartment of the human body under physiological and pathological conditions. |
| Subject |
Bioengineering -- Models.
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Life sciences -- Models.
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Mathematical models.
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Life sciences.
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Models, Theoretical |
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Bioengineering |
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Biological Science Disciplines |
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Modèles mathématiques.
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Sciences de la vie.
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mathematical models.
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biological sciences.
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Life sciences
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Mathematical models
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| Genre/Form |
Electronic books.
|
| Added Author |
Guidoboni, Giovanna, author.
|
|
Mauri, Aurelio Giancarlo, author.
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| Other Form: |
Print version: 9780128125182 |
| ISBN |
9780128125199 (electronic bk.) |
|
0128125195 (electronic bk.) |
|
0128125187 |
|
9780128125182 |
|
9780128125182 |
| Standard No. |
UKMGB 019477930 |
|
